Skip to main content

and
  1. No Access

    Article

    Bernoulli–Dunkl and Euler–Dunkl polynomials and their generalizations

    Bernoulli–Dunkl and Euler–Dunkl polynomials are generalizations of the classical Bernoulli and Euler polynomials, using the Dunkl operator instead of the differential operator. In this paper, we study properti...

    Óscar Ciaurri, Judit Mínguez Ceniceros in Revista de la Real Academia de Ciencias Ex… (2019)

  2. No Access

    Article

    The spectrum of the right inverse of the Dunkl operator

    From the Dunkl analogue of Gegenbauer’s expansion of the plane wave, we derive an explicit closed formula for the spectrum of a right inverse of the Dunkl operator. This is done by stating the problem in such ...

    Luís Daniel Abreu, Óscar Ciaurri, Juan Luis Varona in Revista Matemática Complutense (2013)

  3. No Access

    Article

    A transference theorem for hermite expansions

    A transference theorem for multipliers of Hermite expansions is proved. The result allows to transfer weightedL 2(ℝ n ) estimates from lower to higher dimensions.

    Óscar Ciaurri in Rendiconti del Circolo Matematico di Palermo (2004)